132279840 has 288 divisors, whose sum is σ = 563262336. Its totient is φ = 27463680.

The previous prime is 132279811. The next prime is 132279841. The reversal of 132279840 is 48972231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132279795 and 132279804.

It is not an unprimeable number, because it can be changed into a prime (132279841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110284 + ... + 111476.

It is an arithmetic number, because the mean of its divisors is an integer number (1955772).

Almost surely, 2^132279840 is an apocalyptic number.

132279840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281631168).

132279840 is an abundant number, since it is smaller than the sum of its proper divisors (430982496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132279840 is a wasteful number, since it uses less digits than its factorization.

132279840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 132279840 is about 11501.2973181289. The cubic root of 132279840 is about 509.5238924644.

It can be divided in two parts, 132 and 279840, that added together give a palindrome (279972).

The spelling of 132279840 in words is "one hundred thirty-two million, two hundred seventy-nine thousand, eight hundred forty".